Question

How do you subtract `\frac { 6x } { 4} - \frac { 4} { x - 5}`?

Answer 1

Please see the explanation.

Explanation:

Create a common denominator by multiplying the first term by 1 in the form of `(x - 5)/(x - 5)` and the second term by 1 in the form of `4/4`:

`(6x)/4(x - 5)/(x - 5) - 4/(x - 5)4/4 =`

Multiply numerators and denominators for both terms:

`(6x^2 - 30x)/(4x - 20) - 16/(4x - 20)`

Combine the two numerators over a single denominator:

`(6x^2 - 30x - 16)/(4x - 20)`